Finding the Third Proportional to 38,166 and 82,685.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,166 : 82,685.25 = 82,685.25 : x
2. Step 2: Convert to fraction form
   38,166/82,685.25 = 82,685.25/x
3. Step 3: Cross multiply
   38,166x = 82,685.25 × 82,685.25
4. Step 4: Simplify right side
   38,166x = 6,836,850,567.56
5. Step 5: Solve for x
   x = 6,836,850,567.56/38,166
6. Step 6: Final answer
   x = 179,134.58